MATH 535

Introduction to Partial Differential Equations

Spring 2011 - Sections 010 & 011

Basic information

Lectures:

Section 010 MWF from 1:25pm to 2:15pm at Purnell Hall 324B
Section 011 MWF from 2:30pm to 3:20pm at Willard Hall 006

Course website: www.math.udel.edu/~fjsayas/math535.html
Textbook: David Colton. Partial Differential Equations. An introduction. Dover.
Syllabus
Instructor: Francisco-Javier Sayas. 532 Ewing Hall. (My website)
Office hours: MW 8-9 and 10-11 or by appointment (send me an e-mail and talk to me after the lecture)
Scroll down for:

HW assignments, dates of quizzes and due dates
Exam dates and information
Grade stats

NEW! Notes and refreshers. (Last updated 03/07)

Some differential equations
Fourier series
The trigonometry helper
More differential equations (second order linear with constant coefficients)

List of subjects we have covered so far

Linear PDEs of the first order
Fourier series
The one dimensional wave equation
The vibrating string and related problems (Fourier's method for the wave equation)
Square and circular drums (Fourier's method for the 2-dimensional wave equation)
The one dimensional heat equation
Fourier's method for the heat equation
The Fourier transform and the one dimensional heat equation
Green's Identities and the Laplace equation
Separation of variables for the Laplace equation

THE FINAL EXAM. NEW!

Part 1. Closed book (1 hour). The Laplace equation (sections 4.1, 4.3 and 4.4; review Fourier series for this too). A prototype for this exam will be posted here three days prior to the exam. Be sure to download the prototype corresponding to your section!

CLICK HERE to see the Prototype of Part I for Section 010.
CLICK HERE to the the Prototype of Part I for Section 011.

Part 2. Open book/notes (1 hour). The heat equation and the Laplace equation. (sections 3.1, 3.2, 3.3, 4.1, 4.2 and 4.3)

Solution of Part 1/2 of the midterm

Calendar (updated every week)

Section numbers and Problem numbers refer to the book. Problem 1.2 means problem 2 of Chapter 1. Square brackets in Quizzes dates refer to the section that has to be reviewed for the Quiz.

Week	Lecture		Description	Section	HW & Quizzes	Recommended problems
1	02/07	M	Introduction	SLIDES
	02/09	W	First order linear equations	[1.2]		1.1, 1.3, 1.5, 1.6
	02/11	F	First order linear equations	[1.2]
2	02/14	M	Fourier series	[1.4]		1.11, 1.12(a), 1.13 (a,b,c), 1.14(a), 1.15(a,b) (further practice: anything 1.11-1.17)
	02/16	W
	02/18	F			Quiz #1 [1.2]
3	02/21	M	(Fourier series, cont'd)
	02/23	W	The one dimensional wave equation	[2.1]		2.1, 2.2, 2.3, 2.4
	02/25	F	The one dimensional wave equation	[2.1]	HW #1 [1.13a,1.13b, 1.15a]	2.1, 2.2, 2.3, 2.4
4	02/28	M	(1-d wave eqn, cont'd)
	03/02	W	The vibrating string & related problems	[2.4]		2.17, 2.18, 2.19, 2.20
	03/04	F	The vibrating string & related problems	[2.4]	Quiz #2 [2.1]	2.17, 2.18, 2.19, 2.20
5	03/07	M	(Vibrating string cont'd)
	03/09	W	Square and circular drums	[2.5]		2.21, 2.23, 2.24
	03/11	F	Square and circular drums	[2.5]	HW #2 [2.17, 2.19. Extra points for 2.20]	2.21, 2.23, 2.24
6	03/14	M	(Square & circular drums, cont'd)
	03/16	W	The heat equation	[3.1]	Quiz #3 due	3.1, 3.2, 3.3, 3.4, 3.5
	03/18	F	The heat equation	[3.1]		3.1, 3.2, 3.3, 3.4, 3.5
7	03/21	M	Review Session
	03/23	W	Midterm exam		Midterm (part 1/2)
	03/25	F	The heat equation (cont'd)
Spring break (carpe diem!)
8	04/04	M	Fourier's method for the heat equation	[3.2]		3.9, 3.10, 3.11, 3.12, 3.13, 3.14
	04/06	W
	04/08	F			HW #3 [3.1(a), 3.4, 3.5(a)]
9	04/11	M	Midterm exam		Midterm (part 2/2)
	04/13	W	Fourier's method for heat (cont'd)	[3.2]		3.9, 3.10, 3.11, 3.12, 3.13, 3.14
	04/15	F	Fourier's method for heat (cont'd)	[3.2]		3.9, 3.10, 3.11, 3.12, 3.13, 3.14
10	04/18	M	The Fourier transform and the one dimensional heat equation	[3.3]		3.18, 3.19, 3.20, 3.22, 3.23
	04/20	W
	04/22	F			Quiz #4 [3.1 & 3.2] Open book & collaborative
11	04/25	M	Green's formulas and the Laplace equation	[4.1, 4.2]		4.1, 4.2, 4.3, 4.7
	04/27	W
	04/29	F			HW #4 [3.18, 3.20, 3.22]
12	05/02	M	Separation of variables for the Laplace equation	[4.4]		4.24, 4.25, 4.26
	05/04	W
	05/06	F			Quiz #5. Open book and collaborative
13	05/09	M	More on the Laplace equation	[4.2, 4.4]
	05/11	W
	05/13	F			HW #5 [4.1, 4.2, 4.24(a), 4.25]
14	05/16	M	Final review
Final Exams: in the same lecture room as the course. If you are in one section and want to take the exam with the other one, you need CONFIRMATION that I am okay with that. If you already told me in writing, you do not need to do it again. Section 010. May 20, F. 1:00-3:00 Section 011. May 25, W. 1:00-3:00